High School

A college decides to adjust its admission policy. As a first step, the admissions committee decides to exclude student applicants scoring below the 20th percentile on the ERW SAT exam.

1. Translate this percentile into a Z score.
2. Calculate the equivalent SAT ERW test score.

Answer :

Final answer:

The Z-score corresponding to the 20th percentile is approximately -0.84. The equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.

Explanation:

To translate the 20th percentile into a Z-score, we need to find the Z-score corresponding to the cumulative probability of 20%. Using the standard normal distribution table, we find that the Z-score for a cumulative probability of 20% is approximately -0.84.

Now, to calculate the equivalent SAT ERW test score, we can use the Z-score formula. Let's assume that the mean SAT ERW test score is 500 and the standard deviation is 100. Using the formula Z = (X - μ) / σ, we can rearrange it to solve for X:

X = Z * σ + μ

Substituting the values, we get:

X = -0.84 * 100 + 500 = 416

Therefore, the equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.

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Final answer:

The Z-score corresponding to the 20th percentile is approximately -0.84. The equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.

Explanation:

To translate the 20th percentile into a Z-score, we need to find the Z-score corresponding to the cumulative probability of 20%. Using the standard normal distribution table, we find that the Z-score for a cumulative probability of 20% is approximately -0.84.

Now, to calculate the equivalent SAT ERW test score, we can use the Z-score formula. Let's assume that the mean SAT ERW test score is 500 and the standard deviation is 100. Using the formula Z = (X - μ) / σ, we can rearrange it to solve for X:

X = Z * σ + μ

Substituting the values, we get:

X = -0.84 * 100 + 500 = 416

Therefore, the equivalent SAT ERW test score for a student scoring below the 20th percentile is approximately 416.

Learn more about calculating z-score and equivalent sat erw test score here:

https://brainly.com/question/32792806

#SPJ14

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